作业帮1/(x-1)(x-3)+1/(x-3)(x-5)+1/(x-5)(x-7)+...+1/(x-97)(x-99)这道题该怎么做?
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/28 13:32:33
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1/(x-1)(x-3)+1/(x-3)(x-5)+1/(x-5)(x-7)+...+1/(x-97)(x-99)这道题该怎么做?
1/(x-1)(x-3)+1/(x-3)(x-5)+1/(x-5)(x-7)+...+1/(x-97)(x-99)这道题该怎么做?
1/(x-1)(x-3)+1/(x-3)(x-5)+1/(x-5)(x-7)+...+1/(x-97)(x-99)这道题该怎么做?
1/(x-1)(x-3)+1/(x-3)(x-5)+1/(x-5)(x-7)+...+1/(x-97)(x-99)
=(1/2)[1/(x-3)-1/(x-1)+1/(x-5)-1/(x-3)+...+1/(x-99)-1/(x-97)]
=(1/2)[-1/(x-1)+1/(x-99)]
=49/(x-1)(x-99)
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x-3(x-1)
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x+3/x-1
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(x+3)(x-1)
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(x+1)(x-3)
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